We examine thermodynamically an extra driving term for the flat universe by applying Sharma Mittal entropy to Padmanabhan’s holographic equipartition law. Deviations from the Bekenstein–Hawking entropy by using this law, we generate an extra driving in the acceleration equation. By using the constant and parametrized equation of state parameter, we investigate the different cosmological parameters like deceleration parameter, squared speed of sound, Om-diagnostic and statefinder parameter through graphical approach. We observe compatible results with current observational data in both models. Generalized second law of thermodynamics also remains valid in both cases.

中文翻译：

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根据全息均分律修正弗里德曼方程的宇宙学后果

我们通过将夏尔马·米塔尔熵应用于 Padmanabhan 的全息均分定律，在热力学上检验了平坦宇宙的额外驱动项。通过使用该定律偏离 Bekenstein-Hawking 熵，我们在加速度方程中产生了额外的驱动。利用状态参数常数和参数化方程，我们通过图形方法研究了不同的宇宙学参数，如减速参数、声速平方、Om诊断和状态查找器参数。我们在两个模型中观察到与当前观测数据兼容的结果。广义热力学第二定律在这两种情况下也仍然有效。